GP180 Geophysical Inverse Theory

Paul Segall and Greg Beroza, Spring 2001

Syllabus

April	3	Introduction to Inverse Theory
April	5	Probability, covariance, propagation of erros, Norms in finite and infinite dimensional spaces
April	10	Least squares, Normal Equations
April	12	Maximum likelihood
April	17	Minimum norm solution with exact data
April	19	Minimum norm solution with inexact data
April	24	Uniqueness, null space
April	26	Singular value decomposition
May	1	Bayesian inversion
May	3	Spectral methods for continuous inverse problems
May	9	Cross validation / Bayes and other methods for smoothing
May	11	Numerical aspects: Back projection
May	15	Non-linear inversion part I, earthquake location, simulated annealing
May	17	Non-linear inversion, part II..
May	22	Seismic tomography, mixed continuous discrete problems. Denuisancing.
May	24	Linear programming, L1 norm solutions
May	29	Non-negative methods, quadratic programming
May	31	Backus-Gilbert, bounding functionals
June	5	Maximum entropy methods / Wavelets / Time dependent inversion
June	7	Summary / Wrap up